Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2398 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.122 + t^2.354 + 2*t^2.431 + t^2.508 + t^2.586 + t^3.414 + t^3.646 + t^3.724 + t^4.243 + t^4.475 + 2*t^4.552 + 2*t^4.63 + 3*t^4.707 + t^4.785 + 5*t^4.862 + 3*t^4.939 + 2*t^5.017 + t^5.094 + t^5.171 + t^5.536 + t^5.768 + 4*t^5.845 - 2*t^6. + 2*t^6.077 + 2*t^6.155 + t^6.309 + t^6.365 + t^6.597 + 2*t^6.674 + 2*t^6.751 + 4*t^6.829 + t^6.906 + 3*t^6.983 + 6*t^7.061 + 4*t^7.138 + 2*t^7.215 + 8*t^7.293 + 6*t^7.37 + 4*t^7.448 + 3*t^7.525 + 2*t^7.602 + t^7.657 + t^7.68 + t^7.757 + t^7.89 + 4*t^7.967 + t^8.044 - 2*t^8.122 + 5*t^8.276 - t^8.354 - 4*t^8.431 + t^8.486 - t^8.508 + t^8.718 + 2*t^8.796 + 2*t^8.873 + t^8.895 + 4*t^8.95 - t^4.215/y - t^6.337/y - t^6.569/y - t^6.646/y - t^6.724/y - t^6.801/y + t^7.475/y + (2*t^7.552)/y + (2*t^7.63)/y + (2*t^7.707)/y + (3*t^7.785)/y + (3*t^7.862)/y + (3*t^7.939)/y + (2*t^8.017)/y + (2*t^8.094)/y - t^8.459/y + t^8.536/y - t^8.691/y + t^8.768/y + (2*t^8.845)/y - t^8.923/y - t^4.215*y - t^6.337*y - t^6.569*y - t^6.646*y - t^6.724*y - t^6.801*y + t^7.475*y + 2*t^7.552*y + 2*t^7.63*y + 2*t^7.707*y + 3*t^7.785*y + 3*t^7.862*y + 3*t^7.939*y + 2*t^8.017*y + 2*t^8.094*y - t^8.459*y + t^8.536*y - t^8.691*y + t^8.768*y + 2*t^8.845*y - t^8.923*y | g1^36*t^2.122 + g1^6*t^2.354 + (2*t^2.431)/g1^4 + t^2.508/g1^14 + t^2.586/g1^24 + g1^24*t^3.414 + t^3.646/g1^6 + t^3.724/g1^16 + g1^72*t^4.243 + g1^42*t^4.475 + 2*g1^32*t^4.552 + 2*g1^22*t^4.63 + 3*g1^12*t^4.707 + g1^2*t^4.785 + (5*t^4.862)/g1^8 + (3*t^4.939)/g1^18 + (2*t^5.017)/g1^28 + t^5.094/g1^38 + t^5.171/g1^48 + g1^60*t^5.536 + g1^30*t^5.768 + 4*g1^20*t^5.845 - 2*t^6. + (2*t^6.077)/g1^10 + (2*t^6.155)/g1^20 + t^6.309/g1^40 + g1^108*t^6.365 + g1^78*t^6.597 + 2*g1^68*t^6.674 + 2*g1^58*t^6.751 + 4*g1^48*t^6.829 + g1^38*t^6.906 + 3*g1^28*t^6.983 + 6*g1^18*t^7.061 + 4*g1^8*t^7.138 + (2*t^7.215)/g1^2 + (8*t^7.293)/g1^12 + (6*t^7.37)/g1^22 + (4*t^7.448)/g1^32 + (3*t^7.525)/g1^42 + (2*t^7.602)/g1^52 + g1^96*t^7.657 + t^7.68/g1^62 + t^7.757/g1^72 + g1^66*t^7.89 + 4*g1^56*t^7.967 + g1^46*t^8.044 - 2*g1^36*t^8.122 + 5*g1^16*t^8.276 - g1^6*t^8.354 - (4*t^8.431)/g1^4 + g1^144*t^8.486 - t^8.508/g1^14 + g1^114*t^8.718 + 2*g1^104*t^8.796 + 2*g1^94*t^8.873 + t^8.895/g1^64 + 4*g1^84*t^8.95 - t^4.215/(g1^2*y) - (g1^34*t^6.337)/y - (g1^4*t^6.569)/y - t^6.646/(g1^6*y) - t^6.724/(g1^16*y) - t^6.801/(g1^26*y) + (g1^42*t^7.475)/y + (2*g1^32*t^7.552)/y + (2*g1^22*t^7.63)/y + (2*g1^12*t^7.707)/y + (3*g1^2*t^7.785)/y + (3*t^7.862)/(g1^8*y) + (3*t^7.939)/(g1^18*y) + (2*t^8.017)/(g1^28*y) + (2*t^8.094)/(g1^38*y) - (g1^70*t^8.459)/y + (g1^60*t^8.536)/y - (g1^40*t^8.691)/y + (g1^30*t^8.768)/y + (2*g1^20*t^8.845)/y - (g1^10*t^8.923)/y - (t^4.215*y)/g1^2 - g1^34*t^6.337*y - g1^4*t^6.569*y - (t^6.646*y)/g1^6 - (t^6.724*y)/g1^16 - (t^6.801*y)/g1^26 + g1^42*t^7.475*y + 2*g1^32*t^7.552*y + 2*g1^22*t^7.63*y + 2*g1^12*t^7.707*y + 3*g1^2*t^7.785*y + (3*t^7.862*y)/g1^8 + (3*t^7.939*y)/g1^18 + (2*t^8.017*y)/g1^28 + (2*t^8.094*y)/g1^38 - g1^70*t^8.459*y + g1^60*t^8.536*y - g1^40*t^8.691*y + g1^30*t^8.768*y + 2*g1^20*t^8.845*y - g1^10*t^8.923*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 4439 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.6578 | 0.829 | 0.7935 | [X:[1.5563], M:[0.4437, 1.1854, 0.7782, 0.8874, 0.8146, 0.6689, 0.851, 1.1126], q:[0.7964, 0.76], qb:[0.4619, 0.3527], phi:[0.4073]] | t^2.007 + t^2.334 + 2*t^2.444 + t^2.553 + 2*t^3.338 + t^3.666 + t^3.775 + t^4.014 + t^4.341 + 2*t^4.451 + 2*t^4.56 + 2*t^4.669 + t^4.778 + 5*t^4.887 + 2*t^4.997 + 2*t^5.345 + 2*t^5.672 + 6*t^5.782 + t^5.891 - 3*t^6. - t^4.222/y - t^4.222*y | detail | |
| 4433 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ | 0.5911 | 0.7404 | 0.7983 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.167 + 2*t^2.333 + t^2.5 + t^3. + t^3.333 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.667 + t^4.833 + 2*t^5. + 2*t^5.167 + 2*t^5.333 + 2*t^5.667 + 2*t^5.833 - 2*t^6. - t^4.167/y - t^4.167*y | detail | {a: 12257/20736, c: 15353/20736, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| 4440 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6864 | 0.8774 | 0.7824 | [X:[1.567], M:[0.433, 1.189, 0.7835, 0.8661, 0.811, 0.7009, 0.8385, 0.7835], q:[0.7972, 0.7697], qb:[0.4468, 0.3642], phi:[0.4055]] | t^2.103 + 2*t^2.35 + 2*t^2.433 + t^2.516 + t^2.598 + t^3.402 + t^3.732 + t^4.205 + 2*t^4.453 + 2*t^4.536 + 2*t^4.618 + 5*t^4.701 + 3*t^4.783 + 6*t^4.866 + 4*t^4.949 + 2*t^5.031 + t^5.114 + t^5.197 + t^5.504 + t^5.752 + 4*t^5.835 - 3*t^6. - t^4.217/y - t^4.217*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1355 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6552 | 0.8231 | 0.7959 | [X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]] | t^2.062 + t^2.344 + 2*t^2.438 + t^2.625 + t^3.375 + t^3.469 + t^3.656 + t^3.75 + t^4.124 + t^4.406 + 2*t^4.5 + t^4.594 + 3*t^4.687 + t^4.781 + 4*t^4.875 + t^4.969 + t^5.063 + t^5.25 + t^5.437 + t^5.531 + t^5.719 + 5*t^5.812 + t^5.906 - 2*t^6. - t^4.219/y - t^4.219*y | detail |